Graph Behavior Algebra 1

Front

What does it mean for a function to be positive?

Back

A function is positive when its output (y-value) is greater than zero for a given interval of x-values.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing when its output (y-value) decreases as the input (x-value) increases over a given interval.

Front

What is the minimum of a graph?

Back

The minimum of a graph is the lowest point on the graph, where the function value is the smallest.

Front

What does it mean for a function to be increasing?

Back

A function is increasing when its output (y-value) increases as the input (x-value) increases over a given interval.

Front

How do you determine where a function is positive?

Back

To determine where a function is positive, find the intervals where the graph is above the x-axis.

Front

What is an interval in mathematics?

Back

An interval is a range of values between two endpoints, often expressed in the form (a, b) or [a, b].

Front

What are solutions of a function?

Back

Solutions of a function are the x-values that make the function equal to zero, also known as the roots or zeros of the function.

Front

What does it mean for a function to be positive and increasing?

Back

A function is positive and increasing when its output is greater than zero and increases as the input increases over a specific interval.

Front

What is the significance of the x-axis in graphing functions?

Back

The x-axis represents the input values (x) of a function, and the points where the graph crosses the x-axis indicate the solutions of the function.

Front

What is the difference between a minimum and a maximum on a graph?

Back

A minimum is the lowest point on the graph, while a maximum is the highest point on the graph.